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Finding the Fourth Proportional to 412.17, 617.50 and 257.79

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Solution

The fourth proportional to 412.17, 617.50 and 257.79 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 617.50 = 257.79 : x
  2. Step 2: Convert to fraction form
    412.17/617.50 = 257.79/x
  3. Step 3: Cross multiply
    412.17x = 617.50 × 257.79
  4. Step 4: Simplify right side
    412.17x = 159,185.33
  5. Step 5: Solve for x
    x = 159,185.33/412.17
  6. Step 6: Final answer
    x = 386.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.